>
> Everything you say is true.  But none of it means that the aircraft
> won't turn, which is all I said.  You can make an aircraft "turn" with
> forces that aren't produced by the wings (which should be obvious,
> since some aircraft don't have "wings" yet can still turn).  I tried
> to be precise, but if you interpreted something else from my text then
> I offer my apologies.
>
Peace...

Very true, something like a Harrier will turn by virtue of thrust vectoring
in hover and helicopters are a whole different breed. (In fact, watch a
helicopter when it is in forward motion. It banks to make a turn) If a fixed
wing aircraft can turn with rudder while maintaining wings level (i.e; phi =
0.0) then it should be possible to derive and demonstrate that from the
kinematics and general EOMs.

Try it and watch what happens to all the sin(phi) terms when the bank angle
is zero and the forces and accelerations produced. True you can yaw the nose
with rudder, but that is not the same as turning or generating a psi-dot in
the inertial frame. To turn the aircraft in the inertial frame you need to
produce a psi-dot.

Regards
John W.


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